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103400342032 = 24131289385661
BaseRepresentation
bin110000001001100100…
…1000000001000010000
3100212220010222121121111
41200103021000020100
53143230441421112
6115300152103104
710320233256061
oct1402311001020
9325803877544
10103400342032
113a940885429
1218058694a94
13999b125150
14500c8ba568
152a52a0d5a7
hex1813240210

103400342032 has 40 divisors (see below), whose sum is σ = 215916727320. Its totient is φ = 47686087680.

The previous prime is 103400342011. The next prime is 103400342041. The reversal of 103400342032 is 230243004301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40628046096 + 62772295936 = 201564^2 + 250544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103400341994 and 103400342012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75282 + ... + 460942.

It is an arithmetic number, because the mean of its divisors is an integer number (5397918183).

Almost surely, 2103400342032 is an apocalyptic number.

It is an amenable number.

103400342032 is an abundant number, since it is smaller than the sum of its proper divisors (112516385288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103400342032 is a wasteful number, since it uses less digits than its factorization.

103400342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386971 (or 386965 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 103400342032 its reverse (230243004301), we get a palindrome (333643346333).

The spelling of 103400342032 in words is "one hundred three billion, four hundred million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1289 2578 5156 10312 16757 20624 33514 67028 134056 268112 385661 771322 1542644 3085288 5013593 6170576 10027186 20054372 40108744 80217488 497117029 994234058 1988468116 3976936232 6462521377 7953872464 12925042754 25850085508 51700171016 103400342032